145180440 has 96 divisors (see below), whose sum is σ = 487094400. Its totient is φ = 37463040.

The previous prime is 145180423. The next prime is 145180481. The reversal of 145180440 is 44081541.

It is a happy number.

145180440 is a `hidden beast` number, since 1 + 45 + 180 + 440 = 666.

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 4656 + ... + 17664.

It is an arithmetic number, because the mean of its divisors is an integer number (5073900).

Almost surely, 2^145180440 is an apocalyptic number.

145180440 is a gapful number since it is divisible by the number (10) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 145180440, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (243547200).

145180440 is an abundant number, since it is smaller than the sum of its proper divisors (341913960).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

145180440 is a wasteful number, since it uses less digits than its factorization.

145180440 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13057 (or 13050 counting only the distinct ones).

The product of its (nonzero) digits is 2560, while the sum is 27.

The square root of 145180440 is about 12049.0846125339. The cubic root of 145180440 is about 525.5766181574.

The spelling of 145180440 in words is "one hundred forty-five million, one hundred eighty thousand, four hundred forty".